use the display of data to find the mean, median, mode, and midrange. the mean of the data is (round to the…

use the display of data to find the mean, median, mode, and midrange. the mean of the data is (round to the nearest tenth as needed.)

use the display of data to find the mean, median, mode, and midrange. the mean of the data is (round to the nearest tenth as needed.)

Answer

Explanation:

Step1: Calculate the sum of data - frequency products

From the histogram, the scores and their frequencies are: Score 10 with frequency 2, Score 11 with frequency 2, Score 12 with frequency 5, Score 13 with frequency 2, Score 14 with frequency 1. The sum of data - frequency products is (10\times2 + 11\times2+12\times5 + 13\times2+14\times1=20 + 22+60 + 26+14 = 142).

Step2: Calculate the total frequency

The total frequency is (2 + 2+5 + 2+1=12).

Step3: Calculate the mean

The mean (\bar{x}=\frac{\text{Sum of data - frequency products}}{\text{Total frequency}}=\frac{142}{12}\approx11.8).

Answer:

11.8